Representations on train algebras of rank 3

Alicia Labra,Cristián Reyes

doi:10.1016/j.laa.2004.11.014

Representations on train algebras of rank 3

Alicia Labra, Cristián Reyes

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https://doi.org/10.1016/j.laa.2004.11.014

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Journal: Linear Algebra and Its Applications	Publication Date: Jan 20, 2005
Citations: 4	License type: publisher-specific-oa

Affiliation: University of Chile

#Train Algebras Of Rank #Irreducible Module + Show 3 more

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Abstract

We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is nilpotent. Finally we prove that every irreducible module has dimension one over the field under consideration.

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